Directions: Read the following information carefully and answer the given questions accordingly. Eighteen students are divided into six different groups viz., Red, Violet, Brown, Orange, Purple and Olive. They are sitting in a linear row and facing north direction. Each group consists of three students. A, B, C, D, E and F are captains of their groups. The distance between any two adjacent groups is equal. Other group members are G, H, I, J, K, L, M, N, O, P, Q and R. G, C and P belong to Violet group. Two groups are sitting between Brown and Purple groups. Neither Brown nor Purple group sits at either end. Orange group sits between Brown and Violet groups. Red group is third to the left of Olive group. A and D belong to Olive and Orange group, respectively. D sits to the left of C. Nine members are sitting between B and E, who belongs to Purple group. F is captain of O and M. K and I belong to the same group, but neither Orange nor Purple group. H and L belong to the group that is to the left of D. R is not a member of Purple group. J and E do not belong to the same group. B doesn't belong to Brown group. Which among the following options is the odd from the rest?

### Concept & Linear Arrangement To identify the odd statement, we must fully reconstruct the linear group arrangement and map every single member to their respective 3-person group using the provided logical constraints. ### Step-by-Step Solution * **Group Positions:** * Let the positions be 1 to 6 from left to right. * Brown and Purple are separated by two groups and neither is at an end, so they must occupy positions 2 and 5. * Red is third to the left of Olive. The only available pair with a distance of 3 (excluding 2 and 5) is 1 and 4. Thus, Red is at 1 and Olive is at 4. * Positions 3 and 6 remain. Orange is between Brown and Violet. This requires Violet to be at 6, Orange at 3, and Brown at 2. Consequently, Purple is at 5. * **Group Sequence:** 1-Red, 2-Brown, 3-Orange, 4-Olive, 5-Purple, 6-Violet. * **Assigning Members:** * Violet(6) = {C, G, P}. * 9 members (3 groups) sit between B and E(Purple, 5). So B is at 1 (Red). Red(1) = {B, ?, ?}. * Orange(3) = {D, ?, ?}. Olive(4) = {A, ?, ?}. * Captain F has O and M. The only available empty group for a captain is Brown(2). Brown(2) = {F, O, M}. * H and L are left of D(Orange). They must be in Red(1). Red(1) = {B, H, L}. * K and I are together, not in Orange/Purple. They fit in Olive(4). Olive(4) = {A, K, I}. * Remaining: J, N, Q, R. R is not in Purple, so R is in Orange. J is not with E(Purple), so J is in Orange. Orange(3) = {D, J, R}. * Purple(5) = {E, N, Q}. * **Answering the Question:** * Evaluating the options based on our final arrangement: * (a) K and I are in Olive group: True. * (b) O and M are in Brown group: True. * (c) J and N are in Orange group: False. J is in Orange, but N is in Purple. * (d) E and Q are in Purple group: True. * (e) B and L are in Red group: True. * Since (c) is the only incorrect statement, it is the odd one out. ### Exam Strategy & Shortcut "Odd one out" questions in arrangement puzzles almost always feature four completely true statements and one false statement (or vice versa). Verify each option systematically against your fully completed grid. If you find a contradiction early, quickly double-check that specific member's constraints to save time. ### Common Pitfall Guessing the odd one out based on superficial patterns (like vowel/consonant pairings) rather than strictly adhering to the logical deductions derived from the passage. ### Final Answer Therefore, the correct answer is **J and N are in Orange group**.